Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

Combined delay- and loss-queuing system

Combined delay- and loss-queuing system

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
Proceedings of the Institution of Electrical Engineers — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

The paper presents a detailed study of a combined delay- and loss-queuing system which has limited waiting capacity. The queuing system considered is one with Poisson input, exponential servers and first-come-first-served queue discipline. The stationary-state probabilities of the system and the distribution function of the waiting time are obtained in explicit form. It is shown that many results obtained by other workers can be derived from those presented in the paper. In addition, the operational control of queuing systems is also discussed.

References

    1. 1)
      • D.R. Cox , W.L. Smith . (1979) , Queues.
    2. 2)
      • A.M.O. Esogbue . Dynamic programming and optimal control of variable multichannel stochastic service systems with applications. Math. Biosci. , 133 - 142
    3. 3)
      • A. Wouk . An extension of the Caratheodory-Kalman variational method. J. Optimisation Theory Applic. , 2 - 33
    4. 4)
      • J.M. Howl . Queueing systems. Automatica , 231 - 244
    5. 5)
      • W.C. Chan . Computer-controlled queuing process with constant-access cycle. Proc. IEE , 61 - 64
    6. 6)
      • W. Feller . (1971) , An introduction to probability theory and its applications.
    7. 7)
      • T.L. Saaty . (1961) , Elements of queueing theory.
    8. 8)
      • J. Riordan . (1962) , Stochastic service systems.
    9. 9)
      • D.G. Kendall . Some problems in the theory of queues. J. Roy. Statist. Soc. , 151 - 173
    10. 10)
      • U.N. Bhat . Sixty years of queueing theory. Mgmt. Sci. , 280 - 294
    11. 11)
      • E. Brockmeyer , H.L. Halstrom , A. Jensen . (1948) , The life and works of A.K. Erlang.
    12. 12)
      • A.Y. Khintchine . (1960) , Mathematical methods in the theory of queueing.
    13. 13)
      • Chan, Wah-chun: `A computer control queueing system and the optimal access cycle', Proceedings of the National Electronic Conference, December 1969, Chicago, p. 617–621.
http://iet.metastore.ingenta.com/content/journals/10.1049/piee.1970.0373
Loading

Related content

content/journals/10.1049/piee.1970.0373
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address